Consider the upper half of the astroid described by x 2/3 + y 2/3 = a 2/3
Question:
Consider the upper half of the astroid described by x2/3 + y2/3 = a2/3, where a > 0 and |x| ≤ a. Find the area of the surface generated when this curve is revolved about the x-axis. Use symmetry. Note that the function describing the curve is not differentiable at 0. However, the surface area integral can be evaluated using methods you know.
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Let y fx a3 32 Note that fx xa3 3 so a3 3 x...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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